Complexity and Behind the Horizon Cut Off

التفاصيل البيبلوغرافية
العنوان: Complexity and Behind the Horizon Cut Off
المؤلفون: Akhavan, Amin, Alishahiha, Mohsen, Naseh, Ali, Zolfi, Hamed
سنة النشر: 2018
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology, Quantum Physics
الوصف: Motivated by $T{\overline T}$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with Lloyd's bound one is forced to have a cut off behind the horizon whose value is fixed by the boundary cut off. Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth. It is in contrast with the naively computation which is done without assuming the cut off where the complexity approaches a constant at the late time.
Comment: 14 pages, 2 figures, refs added, contribution of a counter term is added, minor correction, the final conclusion is not changed
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP12(2018)090
URL الوصول: http://arxiv.org/abs/1810.12015
رقم الأكسشن: edsarx.1810.12015
قاعدة البيانات: arXiv